x = sup(A) and if a ɛ A, with x#a , then which of the following statements is Let true? O There is ,E A such that a

Q: Given the 5 relations below, select all that are not function. Remark: If A is a set, then A is…

A: Given data:- R= x,y : x ∈ ℤ ∧ y ∈ ℤ ∧ y2 = x .R= x,y : x ∈ Pℤ ∧ y ∈ ℤ ∧ y ∈ x .R= x,y : x ∈ Pℤ ∧ y ∈…

Q: Which of the following statements is correct about 2 1.13 2 2 the set S = Select one: 3 S spans 3 3…

A:

Q: Let A and B be two sets. Determine which of the following statements are true and which are false.…

A:

Q: Let A and B be sets. Prove that A U B = An B if and only if A = B

A: First show if A∪B=A∩B then A=B, then show that if A=B then we have A∪B=A∩B.

Q: Find the complement of the set given that U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

A: First we write U in roster form.

Q: Q14D. Define the sets A, B, C, and D as follows: A = {-3, 1, 6, 7, 10} B = {-10, -5, 1, 4, 6} C = {x…

A:

Q: Find the complement of the set given that                                                     U = {x…

A:

Q: Find the complement of the set given that U = {0, 1, 2, 3, 4, 5, 6, 7, 8}. (Enter your answers as a…

A: First we write {x | x W and x < 4} in roster form.  Note: W=whole number.

Q: Express the set in roster form. B = (x | XEN and x is a multiple of 7)

A: For given set B we have to write it in roster form.

Q: Which of the following set is empty a. {x: x = x} b. { x : x != x 2 } c. { x : x ! = x } d. {x:…

A: Empty set:            The empty set is the unique set having no elements. and its cardinality is…

Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 5}.  (Enter your answers as a…

A:

Q: True or False Label each of the following true or false:- AX B = B X A for all nonempty sets A and…

A: Let A=1 and B=2.Since, A×B=(a,b)|a∈A, b∈BTherefore, A×B={1,2} -(i)and also, B×A=(b,a)|b∈B,…

Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 10}.  (Enter your answers as a…

A: We Know that,  If U is a universal set and A be any subset of U then the complement of A is the set…

Q: {x|x<2} is (-00,2) in set notation form. O True

A: Given that: {x|x&lt;2}

Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 7}.  (Enter your answers as a…

A:

Q: Find

A: First we write U as universal set. Then find complement.

Q: Which of the following is NOT a finite set? * O A set of vowels. O {x:xE N, 1<x < 5} O (x:xe Z} O A…

A:

Q: Let A = {31, 33, 35, 37, 39}, which of these is a correct set builder notation for A? There may be…

A: This question is based on sets and relation.

Q: (1.) Let T = {1, 2, 3, 4, 5, 6, 7, 8, 9}.  Suppose five integers are chosen from T. Show that it is…

A: 1) Let us choose a set = {1,2,3,4,5}  In this set, two maximum numbers are 4 and 5. Sum of 4 and 5…

Q: VII.1. Describe the set (R × Z) ∩ (Z × R)

A: We have to describe the set (R × Z) ∩ (Z × R).

Q: 00 Let A and B be sets. Then A x B=BX A. True False

A:

Q: If X and Y are denumerable sets, then X - Y is countable.

A: Given that X and Y are denumerable sets. Definition: A set is denumerable if it can be put into a…

Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 7}.  (Enter your answers as a…

A: